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This article is cited in 6 scientific papers (total in 6 papers)
Equational conditions in universal algebraic geometry
P. Modabberi, M. Shahryari Department of Pure Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran
Abstract:
Different types of compactness in the Zariski topology are explored: for instance, being equational Noetherian, being equational Artinian, $q_\omega$- and $u_\omega$-compactness. Moreover, general results on the Zariski topology over algebras and groups are proved.
Keywords:
algebraic structures, equations, algebraic sets, radical ideal, coordinate algebra, Zariski topology, equationally Noetherian algebras, $q_\omega$-compactness, $u_\omega$-compactness, metacompact algebras, metacompact spaces, equationally Artinian algebras, prevarieties, varieties, free algebras, equational domains, Hilbert's basis theorem.
Received: 31.01.2014 Revised: 03.10.2015
Citation:
P. Modabberi, M. Shahryari, “Equational conditions in universal algebraic geometry”, Algebra Logika, 55:2 (2016), 219–256; Algebra and Logic, 55:2 (2016), 146–172
Linking options:
https://www.mathnet.ru/eng/al738 https://www.mathnet.ru/eng/al/v55/i2/p219
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Abstract page: | 228 | Full-text PDF : | 40 | References: | 44 | First page: | 12 |
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